complex vectors and matrices

(30 minutes to learn)


We can define complex vectors and matrices with properties closely analogous to their real-valued analogues. Complex matrices come up when dealing with eigendecompositions of non-symmetric matrices. They are also used in computing the fast Fourier transform.


This concept has the prerequisites:


  • Know the definitions of the Hermitian operator and the complex dot product
  • Why is the Hermitian operator used for complex matrices rather than the matrix transpose?

Core resources (read/watch one of the following)


MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
Author: Gilbert Strang


See also

-No Additional Notes-